My border is 9 feet long and 1/3 foot wide each tile measures 1/3 foot by 1/3 foot each box of tiles contains 6 tiles how many boxes of tile,do I need show 2 equations to solve the problem
let x = number of tiles needed.
1/3 = 9/x
x/6 = number of boxes
To solve this problem, let's break it down into steps:
Step 1: Calculate the area of the border
Since the border is 9 feet long and 1/3 foot wide, we can multiply these two measurements to find the area of the border.
Area of the border = Length × Width
= 9 feet × 1/3 foot
= 3 square feet
Step 2: Calculate the area of each tile
Each tile measures 1/3 foot by 1/3 foot. Again, multiply the length and width to find the area of each tile.
Area of each tile = Length × Width
= 1/3 foot × 1/3 foot
= 1/9 square feet
Step 3: Calculate the total number of tiles needed
Now, let's find out how many tiles are required to cover the entire border. We can do this by dividing the area of the border by the area of each tile.
Total number of tiles needed = Area of the border ÷ Area of each tile
= 3 square feet ÷ 1/9 square feet
To divide by a fraction, we can multiply by the reciprocal of the fraction. So,
Total number of tiles needed = 3 square feet × (9/1 square feet)
= 27 tiles
Step 4: Calculate the number of boxes of tiles needed
Each box contains 6 tiles. To find the number of boxes needed, divide the total number of tiles by the number of tiles in each box.
Number of boxes needed = Total number of tiles needed ÷ Number of tiles in each box
= 27 tiles ÷ 6 tiles
= 4.5 boxes
However, since you cannot have a fraction of a box, we need to round up to the next whole number. Therefore, you will need 5 boxes of tiles to cover the entire border.
In summary, you will need 5 boxes of tiles to cover a border that is 9 feet long and 1/3 foot wide, with each tile measuring 1/3 foot by 1/3 foot.